Math 120A Assignments, Fall 2003

This is the planned syllabus. We will deviate from the timing of the sections as the semester goes on, depending on class interests and needs. However, the test dates are fairly solid and will be not be changed without prior warning. The date and time of the final cannot be changed.

Day Topic Covered Text 
Section(s)
Assignment
9/05 Introduction: What is Calculus?


1.  Read: Section 1.1
  • Complete: Class Info Form (see blue box above)
  • Maple-TA: Assignment 1 (due by 1am 9/08): 
  • Written: Work Stuff You Should Know sheet (due 9/10)
  •  


    9/08
    Functions, Calculus Style

    1.1
    2. Read: Section 1.2
  • Maple-TA :  Assignment 2 (due by 1 am. before next class):
  • Written: 1.1: 5, 15, 16,  24, 26, 38  (due in draft form by 9/10 and in final form at beginning of class 9/12):
  • If time, play with your calculator, using this help sheet.
  • 9/10
    Graphs
    Credit Card Math
    1.2
    3. Read: Section 1.3
  • Maple-TA : Assignment 3 (due by 1 am. before next class):
  • Written: 1.2: 7-10, 12-15, 43, 55, 67* (due in draft form by 9/12 and in final form at beginning of class 9/15)
  • Note: Starred problems are optional bonus problems
  • 9/12
    Field Guide to Elementary Functions
    1.3
    4. Read: Section 1.4
  • Maple-TA : Assignment 4 (due by 1 am. before next class):
  • Written: 1.3:  6, 8, 10, 11. 18, 24,  28, 47, 16* (due in draft form by 9/15 and in final form at beginning of class 9/17)
  • Note: Starred problems are optional bonus problems
  •  


    9/15 Derivative as a rate function derived from an amount function 1.4 5. Read: Section 1.5
  • Maple-TA : Assignment 5 (due by 1 am. before next class):
  • Written: 1.1: 38 1.4: 9-11, 13, 14, 18, 21, 22, 23, 24, 26, 40, 42 (due in draft form by 9/17 and in final form at beginning of class 9/19)
  • 9/17 The derivative as a slope at a point. Estimating from a graph or table 1.4-1.5 6.  Read: Section 1.6
  • Maple-TA : Assignment 6 (due by 1 am. before next class):
  • Written: 1.5:   2, 4, 8, 9, 14, 18, 26, 28, 44*,  48* (due in draft form by 9/19 and in final form at beginning of class 9/22)
  • Note: Starred problems are optional bonus problems
  • 9/19 The geometry of derivatives: max, min, inflection pts,concavity 1.6 7.  Read: Section 1.7
  • Maple-TA : Assignment 7 (due by 1 am. before next class):
  • Written: 1.6:   2, 4, 7, 10, 12, 14, 22-24 , 25-31 (due in draft form by 9/22 and in final form at beginning of class 9/24)
  •  



    9/22
    The geometry of higher derivatives
    1.7 8.  Read: Review chapter 1
  • Maple-TA : No Maple TA assignment!!!!!
  • Written: 1.6:  54. 55; 1.7: 14-21. 25, 28-31 (due in draft form by 9/24 and in final form at beginning of class 9/26)
  • 9/24 Derivative functions: Graphical relationships among f,f' and f'' Review 9.  Read: Section 2.1
  • Maple-TA : Assignment 9 (due by 1 am. before next class):
  • Written: 1.7:  38, 42; Chap 1 Summary: 14-20, 55-57, 84, 91 (due in draft form by 9/26 and in final form at beginning of class 9/29)
  • 9/26
    Definition of Derivative
     2.1 10.  Read: None -- instead, work through questions 1-5 on the Power Rule sheet.  Download the sheet by clicking here, open the Word document you are getting in the e-mail, or look for the two pages of the sheet outside my door.
  • Maple-TA : None -- instead bring the Power Rule sheet to class, having done questions 1-5 so we can talk about it.
  • Written: 2.1:  11, 12, 14, 26, 29, 40  (due in draft form by 9/29 and in final form at beginning of class 10/01)
  •  


    9/29 QUIZ I over chapter 1
    Derivatives/antiderivatives of power functions and polynomials
     2.1 11.  Read: Section 2.2
  • Maple-TA : Assignment 11 (due by 1 am. before next class):
  • Written:  2.1: 7-9, 16,  31, 33, 46, 52, 54, Bonus: 36*, 56* (due in draft form by 10/01 and in final form at beginning of class 10/03)
  • 10/01 Derivatives/antiderivatives of power functions and polynomials 2.2 12.  Read: Section 2.3
  • Maple-TA : Assignment 13 (due by 1 am. before next class):
  • Written:  2.2: 1, 4, 5, 7, 10, 14, 18, 20, 56 Bonus: 50*, 52* (due in draft form by 10/03 and in final form at beginning of class 10/06)
  • 10/03 Limits and Continuity

    2.2 13.  ReRead: Section 2.3
  • Maple-TA : Assignment 13 (due by 1 am. before next class):
  • Written:   Write up an outline of sections 1.1-2.2 that you think will help you study for the test.   (due in final form at beginning of class 10/06)

  •  


    10/06 Limits and Continuity

    2.3
    14.  Read: Section 2.4
  • Maple-TA : Assignment 14 (due by 1 am. before next class):
  • Written:  2.2: 49, 51; 2.3: 1,3, 7, 13-26, 56, 63-65   (due in draft form by 10/08 and in final form at beginning of class 10/13 )
  • 10/08 Derivative and antiderivative formulas, optimization
    2.4
    15.  Read: No new reading
  • Written: 2.4: 4, 6, 8, 24, 26, 58, 60   (due in draft form by 10/13 and in final form at beginning of class 10/15 )
  • 10/10 TEST I, thru 2.3
    TEST I
     


    10/13 Derivative and antiderivative formulas, optimization 2.4, App.  G 16.  Read: Appendix G, p. A48-A56.  No Maple-TA
    Written: p. A56-7: 1, 2, 4, 10, 11   (due in draft form by 10/15 and in final format beginning of class 10/17)
    10/15 Modeling situations with mathematics
    2.4, App.  G
    17.  Read: 2.5 .  
  • Maple-TA : Assignment 17 (due by 1 am. before next class):
  • Written: p. A56-7:3, 14, 16, 20 , 2.4: Use derivatives to solve 20, 22,  56, 61, 66*(bonus) (due in draft form by 10/17 and in final form by 9:00 a.m. on Thursday, October23) 
  • 10/17 Differential equations: modeling motion
    2.5

    18.  Read: 2.6.  
  • Maple-TA :  Assignment 18 (due by 1 am. before next class):
  • Written: 2.5: 1, 3,  8, 11, 12, 20,  22,  32, 34 (due in draft form by 10/22 and in final form at beginning of class 10/24) 
  •  


    10/20 Break  
    10/22 Derivatives/antiderivatives of exponential and logarithmic functions, modeling growth

    2.6, App. E

    19.  Read: Look again at 2.6,
  • Maple-TA :  Assignment 19 (due by 1 am. before next class):
  • Written: 2.5: 24, 28-31, 41, 44, 48*, 52* (*=bonus); 2.6: 4, 10, 12, 16, 18, 31, 69
  • (due in draft form by 10/24 and in final form at beginning of class 10/27) 
  • 10/24
    Derivatives/antiderivatives of trig functions, 


    2.7, App. F

    20.  Read: Look again at derivative formulas in 2.7
  • None!!!
  • Written: 2.6: 19, 20, 27-30, 32, 47, 62, 63, 64; 2.7:  18, 20, 22, 38, 40
  • (due in draft form by 10/27 and in final form at beginning of class 10/29) 

  •  


    10/27 More exponential functions, modeling
      21.  Read:   Section 3.1, Appendix E
  • Maple-TA :  Assignment 21 (due by 1 am. before next class):
  • Written: 2.6: 65, 67, 69, 70; 2.7:  1, 2, 24, 26, 30, 32, 62, 64, 65
  • (due in draft form by 10/29 and in final form at beginning of class 10/31) 

  • 10/29 Product and quotient rules

     3.1 22.  Read:   Section 3.2 
  • Maple-TA :  Assignment :
  • Written: 3.1: 6, 7, 8, 22, 26, 28, 38, 40, 42, 43, 44
  • (due in draft form by 10/31 and in final form at beginning of class 11/03) 

  • 10/31 Composition and Chain Rule
    3.2

    23.  Read:   Section 3.5 
  • Maple-TA :  Assignment 23 (due by 1 am. before next class):
  • Written: 3.2: 6-16 even, 26, 28, 29
  • (due in draft form by 11/03 and in final form at beginning of class 11/05) 
  •  


    11/03 Selected miscellaneous derivatives and antiderivatives
    3.5
    24.  Read:    Chapter  2 Summary  and p. 196 and first 2/3 of 197
  • Maple-TA :  Assignment  None!

  • Written:
  • Ch. 2 Summary: 38, 47, 49-50, 57, and
    • 15, 33 by recognizing derivative
    • 22 (do not use calculator tan line function)
    • 38, 47, 49-50, 57,
  • 3.5:   1, 5, 20, 24, 29, 
  • Chapter 3 Summary: 1-3, 9, 12, 33
  • (due in draft form by 11/05 and in final form at beginning of class 11/10) 

  • 11/05 Review for test



    No assignment
    11/07 Review for test   25.  Read: 4.1
  • Maple-TA :  Assignment 25 (due by 1 am. November 12):

  •  


    11/10 TEST II -- Through 3.2,  including  Appendix G

    TEST II

    11/12 Slope fields 4.1 26.Read:  Nothing new
  • Maple-TA : Assignment 26 (due by 1 am. November 14):
  • Written: Finish the packet of 3 back-to-back sheets (6 pages) that we started in class on Wednesday. (due in draft form by 11/14 and in final form at beginning of class 11/17) 
  • 11/14 Why continuity matters 4.1 27. Read:  4.2
  • Maple-TA : Assignment 27  (due by 1 am. November 17):
  • Written:  4.1: 21, 22, 23, 24, 26  (due in draft form by 11/17 and in final form at beginning of class 11/19) 
  •  


    11/17 More limits 4.2
    28. Read:  4.3
  • Maple-TA : Assignment 28  (due by 1 am. November 19):
  • Written:  4.2: 4, 6, 8, 12, 16, 26, 28, 30, 42: bonus: 48*,  50*,  56* (due in draft form by 11/19 and in final form at beginning of class 11/21) 

  • 11/19

     4.3 29. Read:  Look at conditions and conclusions of theorems in sections 4.8 and 4.9 
  • Maple-TA : Assignment 29  (due by 1 am. November 21):
  • Written:  4.3: 5, 7, 22, 23,27 (Print out and use the optimization guide sheet, if you wish.): bonus: 30*, 31 (due in draft form by 11/21 and in final form at beginning of class 11/24) 
  • 11/21 The intermediate and mean value theorems 4.8-4.9 30. Read:  5.1
  • Maple-TA : Assignment 30  (due by 1 am. November 24):
  • Written:  4.8:   8, 10, 18, 22, 24; 4.9: 16, 18, 24, 25, 26 (due in draft form by 11/24 and in final form at beginning of class 12/03) 
  •  


    11/24 Areas and integrals
     5.1 31. Read:  5.1, 5.2 if possible
  • Maple-TA : None due on Monday, Dec 1.
  • Written:  Make an  outline of  what we have studied in chapters 3 and 4 -- due at beginning of class on 12/03.

  • 11/26 Thanksgiving  
    11/28 Thanksgiving  
     


    12/01 The area function  5.1-5.2 32. Read:  5.2, 5.3 
  • Maple-TA : Assignment 32 (due by 1 am. December 3):
  • Written:  5.1: 2,3,4, 19,20, 37; 5.2:  3,4, 5, 9, 10, 61, 62

  • 12/03 Fundamental theorem of calculus
     5.3
    33. Read:  Nothing new
  • Maple-TA : Assignment 33 (due by 1 am. December 5):
  • Written:  5.3: 1-19 odd; 

  • 12/05 TEST III Over chapters 3 and 4   Virtual TEST III Over chapters 3 and 4
    Check answers here

     


    12/08 Fundamental theorem of calculus
    5.3

    12/10 Review and plan for final    
     


    12/12 Final Examination, Cumulative 9-11 a.m.


     
     

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